Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1 276 Chapter 9. Minimal Polynomials of Linear Recurrence Sequences
CHAPTER TEN BASE CLASS FOR DENSE MATRICES Base class for dense matrices TESTS: sage: R. = QQ[] sage: m = matrix(R,2,[0,a,b,b^2]) sage: TestSuite(m).run() class sage.matrix.matrix_dense.Matrix_dense Bases: sage.matrix.matrix.Matrix The initialization routine of the Matrix base class ensures that it sets the attributes self._parent, self._base_ring, self._nrows, self._ncols. It sets the latter ones by accessing the relevant information on parent, which is often slower than what a more specific subclass can do. Subclasses of Matrix can safely skip calling Matrix.__init__ provided they take care of initializing these attributes themselves. The private attributes self._is_immutable and self._cache are implicitly initialized to valid values upon memory allocation. EXAMPLES: sage: import sage.matrix.matrix0 sage: A = sage.matrix.matrix0.Matrix(MatrixSpace(QQ,2)) sage: type(A) antitranspose() Returns the antitranspose of self, without changing self. EXAMPLES: sage: A = matrix(2,3,range(6)); A [0 1 2] [3 4 5] sage: A.antitranspose() [5 2] [4 1] [3 0] sage: A.subdivide(1,2); A [0 1|2] [---+-] [3 4|5] sage: A.antitranspose() 277
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Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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